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Quizzes > Mathematics > Basic Math & Arithmetic

Master Adding Fractions with Unlike Denominators - Start the Quiz!

Think you can ace this fraction addition quiz? Dive in!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for a fractions quiz on a coral background

Are you ready to put your skills to the test with our adding fractions quiz? Whether you're brushing up on fraction addition or diving into tricky unlike denominator fractions, this free challenge is designed to sharpen your technique and build confidence. You'll learn to find common denominators, simplify your answers, and master adding unlike denominators through fun, bite-sized problems. Tailored for students, educators, and lifelong learners, our fraction addition quiz keeps each question engaging. Play this free, interactive quiz at home or in class and get instant feedback to boost your skills. Ready to level up? Start now and ace each question! Plus, check out our adding and subtracting fractions quiz or try the dividing fractions quiz for more practice.

What is 1/4 + 1/6?
1/10
5/12
3/8
2/5
To add fractions with unlike denominators, find the least common denominator (LCD). For 1/4 and 1/6, the LCD is 12, so convert to 3/12 + 2/12 = 5/12. Always simplify if possible; in this case, 5/12 is already in simplest form. Learn more about adding fractions.
Add 1/3 + 2/5.
7/15
3/8
11/15
1/2
Find the LCD of 3 and 5, which is 15. Convert 1/3 to 5/15 and 2/5 to 6/15, then add to get 11/15. The result is already in simplest form. See fraction addition.
Calculate 2/7 + 1/3.
3/10
7/21
5/12
13/21
The LCD of 7 and 3 is 21, so convert: 2/7 = 6/21 and 1/3 = 7/21. Adding gives 13/21. No further simplification is needed. More on adding fractions.
What is 3/8 + 1/4?
5/8
4/8
1/2
3/12
Convert 1/4 to 2/8 to match the denominator of 3/8. Then add 3/8 + 2/8 = 5/8. The fraction is already simplified. Fraction addition basics.
Add 5/6 + 1/3.
1
7/6
2/3
4/6
Convert 1/3 to 2/6 so both fractions have denominator 6. Then 5/6 + 2/6 = 7/6, which is an improper fraction. You can also write it as 1 1/6. Khan Academy guide.
What is 2/5 + 3/10?
7/10
1/2
1/5
4/15
Convert 2/5 to 4/10, then add 4/10 + 3/10 = 7/10. This fraction is already in simplest form. Learn more.
Calculate 4/9 + 2/3.
8/9
6/12
10/9
1
Convert 2/3 to 6/9. Then add: 4/9 + 6/9 = 10/9. The result is an improper fraction and can be written as 1 1/9. See how.
What is 3/10 + 2/15?
5/25
13/30
7/30
1/2
The LCD of 10 and 15 is 30. Convert: 3/10 = 9/30, 2/15 = 4/30, sum = 13/30. This is already simplified. More practice.
What is 3/4 + 2/9?
7/12
5/13
35/36
11/18
Find the LCD of 4 and 9, which is 36. Convert 3/4 = 27/36 and 2/9 = 8/36, then add to get 35/36. The result cannot be simplified further. Detailed steps.
Add 5/12 + 7/18.
12/30
7/30
11/36
29/36
The LCD of 12 and 18 is 36. Convert: 5/12 = 15/36 and 7/18 = 14/36. Adding yields 29/36. It's in simplest form. Learn how.
What is 1 1/2 + 2/3?
2 1/3
2 1/6
1 5/6
2
Convert mixed number 1 1/2 to improper fraction 3/2, then LCD of 2 and 3 is 6: 3/2=9/6, 2/3=4/6, sum=13/6 or 2 1/6. See mixed number addition.
Calculate 2 2/5 + 1 1/3.
3 3/10
3 1/5
3 2/3
3 11/15
Convert to improper: 2 2/5 = 12/5, 1 1/3 = 4/3. LCD of 5 and 3 is 15: 12/5=36/15, 4/3=20/15, sum=56/15 or 3 11/15. More mixed examples.
What is 7/10 + 2/15?
5/6
9/25
3/5
11/15
LCD of 10 and 15 is 30: 7/10=21/30, 2/15=4/30, sum=25/30 which simplifies to 5/6. Simplifying fractions.
Add 4/5 + 7/12.
23/60
1 23/60
8/17
1 7/12
LCD of 5 and 12 is 60: 4/5=48/60, 7/12=35/60, sum=83/60 which is 1 23/60. Mixed fraction guide.
What is 3/14 + 5/21?
19/42
8/35
1/2
4/7
LCD of 14 and 21 is 42: 3/14=9/42, 5/21=10/42, sum=19/42. This fraction is in simplest terms. Learn more.
Calculate 5/9 + 2/7.
53/63
13/14
3/7
7/16
LCD of 9 and 7 is 63: 5/9=35/63, 2/7=18/63, sum=53/63 which is simplest form. Detailed examples.
What is 11/15 + 4/25?
19/100
67/75
13/35
15/40
LCD of 15 and 25 is 75: 11/15=55/75, 4/25=12/75, sum=67/75. This fraction is already simplified. Fractions addition.
Add 11/16 + 7/24.
47/48
5/12
18/40
9/20
LCD of 16 and 24 is 48: 11/16=33/48, 7/24=14/48, sum=47/48. Simplest form achieved. Example problems.
Calculate 9/14 + 5/28.
14/42
7/28
23/28
1/2
Convert to like denominators: LCD of 14 and 28 is 28, so 9/14=18/28, add 5/28 to get 23/28. The fraction is simplest. Learn more.
What is 13/18 + 7/27?
20/45
53/54
5/9
2/3
LCD of 18 and 27 is 54: 13/18=39/54, 7/27=14/54, sum=53/54. It cannot be simplified further. Step-by-step guide.
Add 4 3/7 + 2 1/5.
5 4/35
6 3/12
7 1/2
6 22/35
Convert to improper: 4 3/7=31/7, 2 1/5=11/5, LCD of 7 and 5 is 35: 31/7=155/35, 11/5=77/35, sum=232/35 or 6 22/35. Mixed fraction addition.
What is 7/8 + 5/32?
3/4
1
33/32
12/32
LCD of 8 and 32 is 32: 7/8=28/32, add 5/32 to get 33/32. The result is 1 1/32. More practice.
Calculate 5/12 + 11/20.
16/32
29/30
3/4
7/15
LCD of 12 and 20 is 60: 5/12=25/60, 11/20=33/60, sum=58/60 which simplifies to 29/30. Simplification tips.
What is 7/15 + 3/10 + 1/6?
13/30
4/5
1
14/15
Find the LCD of 15, 10, and 6 which is 30: 7/15=14/30, 3/10=9/30, 1/6=5/30, sum=28/30 which simplifies to 14/15. Advanced fraction addition.
Calculate 4 2/3 + 5 3/14.
10 1/7
10 3/14
9 37/42
9 5/6
Convert: 4 2/3=14/3 and 5 3/14=73/14. LCD of 3 and 14 is 42: 14/3=196/42, 73/14=219/42, sum=415/42 or 9 37/42. Mixed number addition.
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Study Outcomes

  1. Determine Least Common Denominators -

    Identify and calculate the least common denominator for any pair of fractions with unlike denominators.

  2. Convert to Equivalent Fractions -

    Rewrite given fractions as equivalent fractions sharing a common denominator to prepare for addition.

  3. Add Fractions with Unlike Denominators -

    Perform accurate addition of fractions once denominators are aligned to find the correct sum.

  4. Simplify Fraction Sums -

    Reduce resulting fractions to their simplest form through greatest common divisor techniques.

  5. Apply Skills in Quiz Problems -

    Demonstrate mastery by solving a variety of adding fractions quiz questions involving unlike denominators.

Cheat Sheet

  1. Identify the Least Common Denominator (LCD) -

    Before tackling any adding fractions quiz problems, find the smallest common multiple of the denominators, called the LCD. Use prime factorization or list multiples - for example, denominators 4 and 6 both reach 12 as their LCD (4→4,8,12; 6→6,12). This foundational step makes adding unlike denominators quiz items much smoother (source: Khan Academy).

  2. Convert to Equivalent Fractions -

    Once you know the LCD, rewrite each fraction so they share this common denominator by multiplying numerator and denominator by the same number. For instance, to convert 1/3 for a denominator of 12, multiply both by 4 to get 4/12. Practice this in your fraction addition quiz to build fluency with unlike denominator fractions (source: National Council of Teachers of Mathematics).

  3. Sum the Numerators -

    With equivalent fractions in hand, add only the numerators while keeping the LCD unchanged. For example, in an add fractions quiz, 5/12 + 7/12 equals (5+7)/12, giving 12/12. This straightforward step is the heart of adding unlike denominators quiz questions (source: Purplemath).

  4. Simplify the Result Using GCF -

    After addition, reduce the fraction to simplest form by dividing numerator and denominator by their greatest common factor (GCF). If you end up with 12/12, divide both by 12 to get 1, or simplify 8/12 by the GCF 4 to reach 2/3. Streamlining answers is crucial in any adding unlike denominators quiz (source: Math Is Fun).

  5. Handle Mixed Numbers and Improper Fractions -

    Convert mixed numbers to improper fractions before adding and back to mixed numbers afterward if needed - for example, 1 1/4 becomes 5/4 to add with 3/8; then simplify and convert back. This technique ensures accuracy in more advanced add fractions quiz items. Mastery here boosts confidence when facing real-world applications (source: University math department guidelines).

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